Compacta with shapes of finite complexes: a direct approach to the Edwards-Geoghegan-Wall obstruction

Abstract

An important "stability" theorem in shape theory, due to D.A. Edwards and R. Geoghegan, characterizes those compacta having the same shape as a finite CW complex. In this note we present straightforward and self-contained proof of that theorem.

arXiv commentSubmitted to the proceedings of "Topological Methods in Group Theory: A conference in honor of Ross Geoghegan's 70th birthday"; 15 pages, 1 figure